Question

I Really need help for this problem!!!! See attachments

Answer 1

do you know how to write the slope-intercept form of that line? (i mean the one with y = mx + b)

Answer 2

no sorry i dont know

Answer 3

hmm well.. do you know the two-point formula to find the equation of a line?

Answer 4

no and im really stuck on this problem its taken my hours :(

Answer 5

okay...the two point formula of a line is \[\large y - y_1 = \frac{y_2 - y_1}{x_2 - x_1} (x - x_1)\]

your points are (0,3) and (2,-3)

so x1 = 0, y1 = 3, x2 = 2, y2 = -3

substitute those into the equation i wrote then tell me what you have

Answer 6

i did that i have gotten it wrong because of the shadowed part

Answer 7

let me do the equation on paper
one minute

Answer 8

sure.

anyway...the shadowed part doesn't matter for now. first step is to make it into an equality to make it easier

Answer 9

so how do i put an input for the y int he begining

Answer 10

the y and x with no subscripts are variables

Answer 11

like the ones in y = mx + b

Answer 12

ok so just leave it as it is?

Answer 13

yes

Answer 14

ok so is it y-3=-6/2(x-0)

Answer 15

now simplify it

Answer 16

y-3=-3(x-0)

Answer 17

right. further simplification is y - 3 = -3x

now turn that into the y = mx + b form

Answer 18

how to put an input into mx?

Answer 19

mx is just the term that has the x

Answer 20

in this case mx is -3x

Answer 21

what would y be

Answer 22

again, y is a variable

Answer 23

b is the constant

Answer 24

y=-3x+-3

Answer 25

or y=-3x+y-3

Answer 26

it's y = -3x - 3 <--your first answer

Answer 27

anyway, we're done with 3/4 of the problem now. the only thing left is to change that equal sign into an inequality sign

Answer 28

which do yo think is the proper inequality sign?

remember: your graph is shaded to the left, and has shaded dots on the points

Answer 29

>

Answer 30

nope. remember, in the number line, the left side is negative and the right side is positive

and shaded circles means equality

Answer 31

greater than or equal too?

Answer 32

it's actually less than or equal to...because like i said a while ago, the left is negative..in short less than...

remember that you're supposed to look at the shade, not the line

Answer 33

the line is greater than the shaded region...but the shaded region is less than that line. make sense?

Answer 34

ohhh
so ho would the equation look like

Answer 35

\[y\le -3x - 3\]

Answer 36

i have one more question

Answer 37

go ahead

Answer 38

would there be a website online that can calculate this or convert in some sort

Answer 39

www.wolframalpha.com

Answer 40

thank you very much